Answer:
42 = 1 x 42, 2 x 21, 3 x 14, or 6 x 7.
5 / 4 x + 3 = x - 1 / 4
10 of the students in Josiah's grade like to eat meatloaf. 11 students like to eat spaghetti, and 6 students like to eat both meatloaf and spaghetti. How many students like to eat meatloaf but not spaghetti?
Total stud=11+6=17
[tex]\\ \sf\longmapsto n(A\cup B)=n(A)+n(B)-n(A\cap B)[/tex]
[tex]\\ \sf\longmapsto 17=n(A)+10-6[/tex]
[tex]\\ \sf\longmapsto n(A)=17-4[/tex]
[tex]\\ \sf\longmapsto n(A)=13[/tex]
Cancel A intersection b[tex]\\ \sf\longmapsto A=13-6=7[/tex]
Question:
10 of the students in Josiah's grade like to eat meatloaf. 11 students like to eat spaghetti, and 6 students like to eat both meatloaf and spaghetti. How many students like to eat meatloaf but not spaghetti?
Answer:
Students eating meatloaf. = A
students eating sphegetti = B
A∩ B students like both
Total students =11+6=17
⟼n(A∪B)=n(A)+n(B)−n(A∩B)
⟼17=n(A)+10−6
⟼n(A)=17−4
⟼n(A)=13
⟼A= 13−6
=7
Error Analysis: Describe and correct the error in solving the equation
Answer:
x = 2
Step-by-step explanation:
1.) Subtract 8 from both sides.
x + 8 = 10
- 8 -8
2.) Simplify 10 - 8 to 2
x + 8 = 10
-8 -8
——————
x = 2
MATH
HELP
FIND THE EQUATION OF THE LINE
y=3/3x+-2
Step-by-step explanation:
it goes up 3 and over 3 so its 3/3 and it starts at -2
Hi there!
[tex]\large\boxed{y = \frac{3}{4}x - 2}[/tex]
y = mx + b
To find the equation, we can begin by deriving the slope (m):
slope = y2-y1/x2-x1
Find two points:
(0, -2) and (4, 1)
Plug these into the slope equation:
slope = 1 - (-2) / 4 - 0
slope = 3/4
We know that there is a y-intercept of y = -2 (b value), so:
y = 3/4x - 2
Find the products using suitable identity:
a) (t – 2)(t – 2)
b) (3y – 2z) (3y + 2z)
c) 105 × 98
pls answer
Step-by-step explanation:
a) (t – 2)(t – 2)
(t-2)²
t²-2×t×2+2²
t²-4t+4
b). (3y – 2z) (3y + 2z)
(3y)²-(2z)²
9y²-4z²
c) 105 × 98
10,290
A line is parallel to the x-axis and passes through (-5,4) write the equation of that line, the slope, and the slope of a line perpendicular to that line.
A line parallel to the x-axis is horizontal and thus any point on the line has a fixed y-coordinate. So the given line that passes through (-5, 4) has equation y = 4 with slope 0.
A line perpendicular to this one would be vertical. Its slope would be undefined (or infinite, depending on convention), so that any point on it has a fixed x-coordinate. If this line also passes through (-5, 4), then its equation would be x = -5.
கடுவன் என்னும் சொல்லின்
பொருள் யாது?
Answer:
Goodbye and blacksmith
Write the equation of the line containing the points (-7,7)
and (-8, 10). (Use the slope you just found, and pick either
point).
Answer: y=-3x-14
Step-by-step explanation:
The equation of a line is y=mx+b.
Mx is the slope so insert the coordinates into slope formula:
[tex]m=\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
[tex]m=\frac{10-7}{-8-(-7)}[/tex]
[tex]m=\frac{3}{-1}[/tex]
[tex]m=-3[/tex]
To find b, we insert one of the coordinates into the part of the equation we have found so far.
y=mx+b
y=-3x+b
7=-3(-7)+b
7=21+b
7-21=21-21+b
-14=b
Now put it all together and the equation is y=-3x-14
Genevieve buys 4 dance tickets for $15 bill buys 16 dance tickets for $75 did they pay at the same rate?
Answer:
No they did not pay the same rate, Bill paid more than Genevieve.
Step-by-step explanation:
Genevieve : 15 ÷ 4 =3.75
Genevieve paid 3.75 per ticket
-----------------------------------------------------
Bill : 75 ÷ 16 = 4.6875
Bill paid 4.6875 per ticket
********************************************
need the awnser for this
Answer:
The third option
Step-by-step explanation:
Because it can't be negative, and if x equals 2, it would be equal to a positive one. Sorry, I'm bad at explaining but yeah
Find x if:
B is between A and C;
AB=x+5;
BC=2(x – 3); and
AB ≅ BC .
Answer:
x = 11
Step-by-step explanation:
x + 5 = 2(x - 3)
x + 5 = 2x - 6
(x - x) + 5 = (2x - x) - 6
5 = x - 6
5 + 6 = x (- 6 + 6)
x = 11
Find the distance between the two points rounding to the nearest tenth (if necessary).
(0, -8) and (-5,4)
Answer:
13 units
Step-by-step explanation:
Calculate the distance using the distance formula
d = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }[/tex]
with (x₁, y₁ ) = (0, - 8) and (x₂, y₂ ) = (- 5, 4)
d = [tex]\sqrt{(-5-0)^2+(4-(-8))^2}[/tex]
= [tex]\sqrt{(-5)^2+(4+8)^2}[/tex]
= [tex]\sqrt{25+12^2}[/tex]
= [tex]\sqrt{25+144}[/tex]
= [tex]\sqrt{169}[/tex]
= 13
Pete is saving money to buy a used car
in eight months. He wants to save $5,000
for a down payment and finance the rest.
Pete already has $1,400 saved for the car.
How much money does he need to save
per month to meet his goal of saving
$5,000?
Answer:
450 per month
Step-by-step explanation:
5000-1400=3600
3600/8=450
Since Peter already has 1400 dollars saved you can subtract that form the total amount and since he is trying to get the rest in eight months you just divide the difference by eight.
write the ratios for sinm cosm and tanm
Answer:
sin m =
[tex] \frac{3 \sqrt{21} }{15} [/tex]
evaluate the expression when c=3 and d=47.
d-5c
Answer:
32
Step-by-step explanation:
47 - 5(3)
Multiply 5 x 3
47 - 15
Subtract 15 from 47
Answer = 32
Can anybody help find the line of reflection??
I'll do part (a) to get you started. Part (b) will follow the same sort of steps.
In part (a), we have these two points
A = (-3,2)B = (3,8)You can call the points any letters you want. Let's find the slope of line AB
m = (y2-y1)/(x2-x1)
m = (8-2)/(3-(-3))
m = (8-2)/(3+3)
m = 6/6
m = 1
The slope of line AB is 1.
The mirror line will have the negative reciprocal of this slope, so the slope of the mirror line is -1. In other words, the mirror line slope is perpendicular to line AB. We'll use this perpendicular slope later.
-------------------------------------------
Next, we find the midpoint of segment AB
Average the x coordinates to get (x1+x2)/2 = (-3+3)/2 = 0/2 = 0
Repeat for the y coordinates: (y1+y2)/2 = (2+8)/2 = 10/2 = 5
The midpoint of AB is (0,5)
-------------------------------------------
The mirror line will have two defining traits
The slope of the mirror line is m = -1The mirror line goes through the midpoint (x,y) = (0,5)So,
y = mx+b
y = -1x+b ... plugging in that perpendicular slope
5 = -1*0+b .... plugging in (x,y) = (0,5)
5 = 0+b
b = 5
The equation of the mirror line is y = -x+5 as shown in the diagram below. The mirror line is shown in green. Point D isn't important as it's just used to help set up the 90 degree angle.
This wraps up part (a) and I'll let you handle part (b). If you're stuck, then feel free to ask.
(secx-tanx)(secx+tanx)=1 simplify
Step-by-step explanation:
(secx-tanx)(secx+tanx)
=sec^2-tan^2
=1
Answer:
Step-by-step explanation:
LHS = (sec x - tan x)(Sec x - tan x)
= sec² x - tan²x {(a +b)(a-b) = a² - b²}
[tex]= \dfrac{1}{Cos^{2} \ x}-\dfrac{Sin^{2} \ x}{Cos^{2} \ x}\\\\\\= \dfrac{1-Sin^{2} \ x}{Cos^{2} \ x}\\\\= \dfrac{Cos^{2} \ x}{Cos^{2} \x}\\\\= 1[/tex]
Hence proved.
if f(x)=3-2x and g(x)= 1-x+5, what is the value of (f/g) (8)?
Answer: -169
Step-by-step explanation:
There are two ways to answer this question, and one is a lot easier than the other. The first is to divide f(x) by g(x) and then substitute 8 for x, which could take a very long time and would be a huge pain.
On the other hand, you can substitute 8 into the equation f(x), and get
f(8) = 3- 2(8) = 3-16 = -13
Then substitute 8 into g(x) and get
g(8) = 1 /(8 +5) = 1/(13)
Then you simply divide the two to get -13/(1/13). Here, you can multiply the numerator and the denominator of the larger fraction by 13, so you would end up with -169/1, or, the answer to your problem: -169.
Use f(x) = 1/2 and f^-1(x) = 2x to solve the problems.
f(2)=
f^-1(1) =
f^-1(X2)) =
Answer:
Solution:
When X=2
f(2)=1/2
= 1/2
When X= 1
f^-1(1)= 2*1
=2
When X=2
f^-1(2)=2*2
= 4
Step-by-step explanation:
I don't know if these are correct and if that last question is f^-1(2) or not.
A clown earned $654 making balloon animals at a carnival. If the clown charged $6 for each balloon animal, how many balloon animals did the clown make
Answer:
The clown made 109 animal balloons.
Step-by-step explanation:
You'll divide 6 from 654.
654 ÷ 6 = 109
Do long division.
6 goes into 6, 1 time.
6 cannot go into 5 so you'll put 0.
6 can go into 54, 9 times.
109 is your answer.
What is the domain and range of the function y = xn if n is an odd whole number? if n is an even whole number?
A. If n is odd, domain is (−∞,∞) and range is [0, ∞); if n is even, domain and range are both (−∞,∞).
B. If n is odd, domain and range are both (−∞, ∞); if n is even, domain is (−∞, ∞) and range is [0, ∞).
C. In both cases, domain is (−∞, ∞) and range is [0, ∞).
D. Domain and range in both cases is (−∞ , ∞ ).
Domain and range are the possible x and y values, a function can take.
For the given functions:
If n is odd, domain and range are both (−∞, ∞)If n is even, domain is (−∞, ∞) and range is [0, ∞)Given that:
[tex]y = x^n[/tex]
When n is even.
Assume that [tex]n=2[/tex]
The equation becomes:
[tex]y =x^2[/tex]
See attachment for the graph of [tex]y =x^2[/tex].
From the graph, we can see that values of x extend to both sides of the x-axis.
So, the domain is: [tex](-\infty, \infty)[/tex]
However, the value of y starts from 0 and the curve opens upward. This means that y only take positive values.
So, the range is: [tex][0, \infty)[/tex]
When n is odd.
Assume that [tex]n =3[/tex]
The equation becomes: [tex]y = x^3[/tex]
See attachment for the graph of [tex]y = x^3[/tex].
From the graph, we can see that values of x and y extend to both sides of the x-axis and y-axis, respectively.
So, the domain is: [tex](-\infty, \infty)[/tex]
The range is: [tex](-\infty, \infty)[/tex]
Hence, option (B) is correct.
Read more about domain and range at:
https://brainly.com/question/1632425
6. Find the coordinates of A if M-1, 2) is the midpoint of AB and B
has coordinates of (3.-5).
Answer:
A(-5,9)
Step-by-step explanation:
Let A(a,b)
Since M is the midpoint then of A(a,b) and B(3,-5) then
M( (a+3)/2 , (b-5)/2)
But it is given that M(-1,2)
So (a+3)/2 = -1 which implies a=-5
and (b-5)/2=2 which implies b=9.
Therefore A(-5,9)
I don't know what to do!!! Plz help me!!!! I'm dyeing!!!
Answer:
19 inches
Step-by-step explanation:
8+8+3= 19
-2x - 5 = 0
giúp tôi
Answer:
x = -5/2
Step-by-step explanation:
-2x - 5 = 0
take - (minus) as common
2x + 5 = 0
2x = - 5
x = -5/2
-TheUnknownScientist
RS has endpoint R(2,4) and S(-1,7).what are the coordinates of its midpoint M
Answer:
M={½,11/2}
Step-by-step explanation:
M={x1+x2/2,y1+y2/2}
M={2+-1/2,4+7/2}
M={½,11/2}
I need help please whatts the volume of this
Answer:
36
Step-by-step explanation:
the volume equals the number of cubes
number of cubes = 2( (2×6 )+ (2 × 3) )= 2 (18)
= 36
(Please help, I don't understand) Use the distance formula to find the distance between each pair of points:
Step-by-step explanation:
Distance = √(x_2 - x_1)² + (y_2 - y_1)²
Distance = √[(-a) - a]² + (b - b)²
Distance = √[-2a]² + (0)²
Distance = √4a²
Distance = 2a
In HER COLLEGE ENGLISH CLASS MARTA WROTE A TOTAL OF. 15,000 WORDS IN ESSAYS THREE OF MARTA’S ESSAYS WERE 1,000 WORDS LONG AND THE REST ARE 2,000 WORDS LONG HOW MANY 2,000 WORD ESSAYS DID SHE WRITE
Answer: 6 essays
Step-by-step explanation:
With the given question, we can write out an equation.
Equation: 3(1000)+2000x=15000
We have 3(1000) because 3 of Marta's essays have 1000 words. We have 2000x because there are 2000 words, but we don't know how many essays. Lastly, we have 15000 because that is the total number of words. All we have to do is solve for x.
3(1000)+2000x=15000 [multiply]
3000+2000x=15000 [subtract both sides by 3000]
2000x=12000 [divide both sides by 2000]
x=6
Now, we know there are 6 essays.
Explain why XYZ is a monorail and x+y+z is a trinomial
Answer:
hello
Step-by-step explanation:
:)
Answer:
XYZ is monomial because it is a single term and X+y+z is a trinomial because it has 3term
4. Arquette is a caddy at the country club. He has no hourly wage. His only income is from tips. In a given week he was tipped by 12 golfers: $20, $15, $10, $15, $25, $10, $15, $22, $18, $15, $20, $20. What did he earn that week?
Answer:
$205
Step-by-step explanation:
20+15+10+15+25+10+15+22+18+15+20+20= 205
